16820620185600 has 1872 divisors, whose sum is σ = 77905075422720. Its totient is φ = 3494795673600.

The previous prime is 16820620185599. The next prime is 16820620185601. The reversal of 16820620185600 is 658102602861.

16820620185600 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 0 + 6 + 20 + 18 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (16820620185599) and next prime (16820620185601).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16820620185601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1916002011 + ... + 1916010789.

Almost surely, 2^{16820620185600} is an apocalyptic number.

16820620185600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16820620185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38952537711360).

16820620185600 is an abundant number, since it is smaller than the sum of its proper divisors (61084455237120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16820620185600 is an equidigital number, since it uses as much as digits as its factorization.

16820620185600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8846 (or 8807 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 16820620185600 in words is "sixteen trillion, eight hundred twenty billion, six hundred twenty million, one hundred eighty-five thousand, six hundred".